5(2x+3)+2(x-4)=7x+42

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Solution for 5(2x+3)+2(x-4)=7x+42 equation:


Simplifying
5(2x + 3) + 2(x + -4) = 7x + 42

Reorder the terms:
5(3 + 2x) + 2(x + -4) = 7x + 42
(3 * 5 + 2x * 5) + 2(x + -4) = 7x + 42
(15 + 10x) + 2(x + -4) = 7x + 42

Reorder the terms:
15 + 10x + 2(-4 + x) = 7x + 42
15 + 10x + (-4 * 2 + x * 2) = 7x + 42
15 + 10x + (-8 + 2x) = 7x + 42

Reorder the terms:
15 + -8 + 10x + 2x = 7x + 42

Combine like terms: 15 + -8 = 7
7 + 10x + 2x = 7x + 42

Combine like terms: 10x + 2x = 12x
7 + 12x = 7x + 42

Reorder the terms:
7 + 12x = 42 + 7x

Solving
7 + 12x = 42 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
7 + 12x + -7x = 42 + 7x + -7x

Combine like terms: 12x + -7x = 5x
7 + 5x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + 5x = 42 + 0
7 + 5x = 42

Add '-7' to each side of the equation.
7 + -7 + 5x = 42 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 42 + -7
5x = 42 + -7

Combine like terms: 42 + -7 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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